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Finding the Third Proportional to 22,710,966.75 and 49,818,462.75

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Solution

The third proportional to 22,710,966.75 and 49,818,462.75 is: 109,281,091.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,710,966.75 : 49,818,462.75 = 49,818,462.75 : x
  2. Step 2: Convert to fraction form
    22,710,966.75/49,818,462.75 = 49,818,462.75/x
  3. Step 3: Cross multiply
    22,710,966.75x = 49,818,462.75 × 49,818,462.75
  4. Step 4: Simplify right side
    22,710,966.75x = 2,481,879,230,773,137.50
  5. Step 5: Solve for x
    x = 2,481,879,230,773,137.50/22,710,966.75
  6. Step 6: Final answer
    x = 109,281,091.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.